Home / 1,116.92-1,542.12-822.80

Finding the Fourth Proportional to 1,116.92, 1,542.12 and 822.80

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Solution

The fourth proportional to 1,116.92, 1,542.12 and 822.80 is: 1,136.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.92 : 1,542.12 = 822.80 : x
  2. Step 2: Convert to fraction form
    1,116.92/1,542.12 = 822.80/x
  3. Step 3: Cross multiply
    1,116.92x = 1,542.12 × 822.80
  4. Step 4: Simplify right side
    1,116.92x = 1,268,856.34
  5. Step 5: Solve for x
    x = 1,268,856.34/1,116.92
  6. Step 6: Final answer
    x = 1,136.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.